Directory UMM :Journals:Journal_of_mathematics:SMA:

Surveys in Mathematics and its Applications

ISSN1842-6298 (electronic), 1843-7265 (print)

Volume4(2009), 65 – 75

PROBABILISTIC NORMS AND STATISTICAL

CONVERGENCE OF RANDOM VARIABLES

Mohamad Rafi Segi Rahmat and Bernardo Lafuerza-Guill´en

Abstract. The paper extends certain stochastic convergence of sequences ofRk_{-valued random}

variables (namely, the convergence in probability, inLpand almost surely) to the context of E-valued random variables.

Full text

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2000 Mathematics Subject Classification:40A05; 46S50; 54E70.

Keywords: probabilistic norm; random norm; statistical convergence; almost sure convergence.

2 _{Mohd. Rafi and B. Lafuerza-Guill´en}

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Probabilistic norms and statistical convergence of random variables 3

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Mohamad Rafi Segi Rahmat Bernardo Lafuerza-Guill´en

School of Applied Mathematics, Departamento de Estad´ıstica The University of Nottingham Malaysia Campus, y Mathem´atica Aplicada, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Universidad de Almer´ıa,

Malaysia. 04120-Almer´ıa, Spain.

e-mail: Mohd.Rafi@nottingham.edu.my e-mail: blafuerz@ual.es

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